   Chapter 7.4, Problem 30E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Finding Partial Derivatives In Exercises 29-32, find the first partial derivatives with respect to x, y, and z. See Example 5. w = x 3 y z 2 + x y − 4 y z

To determine

To calculate: The first partial derivatives with respect to x,y and z for the function w=x3yz2+xy4yz.

Explanation

Given information:

The provided function is w=x3yz2+xy4yz.

Formula used:

Consider the function z=f(x,y) then for the value of zx consider y to be constant and differentiate with respect to x and the value of zy consider x to be constant and differentiate with respect to y.

Calculation:

Consider the provided function is,

w=x3yz2+xy4yz

Partially derivative of the function w=x3yz2+xy4yz with respect to x.

wx=x(x3yz2+xy4yz)=yz2x(x3)+yx(x)4yzx(1)=3x2yz2+y

Partially derivative of the function w=x3yz2+xy4yz with respect to y

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